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542112100 = 225247115343
BaseRepresentation
bin100000010011111…
…111100101100100
31101210002010222221
4200103333211210
52102240041400
6125443202124
716301606515
oct4023774544
91353063887
10542112100
1125900a932
12131676344
138840b0ba
1451dd8a0c
15328d5c1a
hex204ff964

542112100 has 36 divisors (see below), whose sum is σ = 1201423104. Its totient is φ = 212229280.

The previous prime is 542112091. The next prime is 542112107. The reversal of 542112100 is 1211245.

542112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (542112107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52972 + ... + 62371.

It is an arithmetic number, because the mean of its divisors is an integer number (33372864).

Almost surely, 2542112100 is an apocalyptic number.

542112100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542112100 is an abundant number, since it is smaller than the sum of its proper divisors (659311004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

542112100 is a wasteful number, since it uses less digits than its factorization.

542112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115404 (or 115397 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 542112100 is about 23283.3008828216. The cubic root of 542112100 is about 815.3855929418.

Adding to 542112100 its reverse (1211245), we get a palindrome (543323345).

The spelling of 542112100 in words is "five hundred forty-two million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2350 4700 115343 230686 461372 576715 1153430 2306860 2883575 5421121 5767150 10842242 11534300 21684484 27105605 54211210 108422420 135528025 271056050 542112100